Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART 2.

Transcription

1 Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART 2. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the statement If a figure has three sides, it is a triangle, the phrase it is a triangle is which of the following? a. hypothesis c. conditional b. conclusion d. converse 2. Which figure is a counterexample to the statement below? For any quadrilateral, the lengths of its diagonals are equal. a. c. b. d. 3. Which of the following can be used to prove that a conditional statement is false? a. counterexample c. conclusion b. converse d. hypothesis 4. Which figure can serve as a counterexample to the conjecture below? If one pair of opposite sides of a quadrilateral is parallel, and the other pair is congruent, then the quadrilateral is a parallelogram. a. square c. rhombus b. rectangle d. trapezoid 5. Suppose a conditional statement is true. Which of the following is true about its converse? a. It is true. c. It is possibly true. b. It is false. d. It is neither true nor false. 6. Which statement is the converse of the statement If a polygon has eight sides, then it is an octagon? a. An octagon has eight sides. b. An eight-sided polygon is an octagon. c. If a polygon is an octagon, then it has eight sides. d. If a polygon is an octagon, then it has eight angles. 7. Given: ABCD is a parallelogram with diagonals and. Which of the following must be true? a. c. b. d. bisects. 8. Given the statements below, which conclusion is valid?

2 All birds have feathers. A penguin is a bird. a. All penguins have feathers. c. All penguins can fly. b. All birds are penguins. d. All birds lay eggs. 9. If the conclusion is false in a valid argument, then which of the following must be false? a. inverse c. argument b. converse d. hypothesis 10. Which of the following is the inverse of the statement A square is a rectangle? a. If a figure is not a square, then it is not a rectangle. b. If a figure is not a rectangle, then it is not a square. c. A rectangle is a square. d. Some rectangles are squares. 11. Write the following statement as a conditional statement: All fish can swim. a. If an animal is a fish, then it can swim. b. If an animal can swim, then it is a fish. c. If an animal cannot swim, then it is not a fish. d. If an animal is not a fish, then it cannot swim. 12. In the figure below, line m is parallel to line n. Which of the following does not have to be true? a. 1 2 c. 1 4 b. 1 3 d How many counterexamples are needed to disprove the conjecture Two lines in a plane always intersect at exactly one point? a. 0 c. 2 b. 1 d. many more than Given: B and D are right angles. Which reason justifies the statement m B = m D? a. definition of rectangle

3 b. definition of hypotenuse c. equality of right angles d. the sum of the measures of the angles of a 180 triangle 15. Devon wants to prove that ABD CBD. One step in Devon s proof is the statement. Which reason justifies that statement? a. definition of midpoint b. congruency of corresponding parts of congruent triangles c. Substitution Property d. Reflexive Property 16. In parallelogram ABCD, diagonals and intersect at E. Which of the following statements does not have to be true? a. AEB DEC c. BCE DAE b. AED BEC d. ABD BCD 17. Jasmine wants to prove that MNP OPN in the parallelogram MNOP. Which of the following supports Jasmine s assertion that 1 2? a. If two parallel lines are intersected by a transversal, then alternate interior angles are congruent. b. If two parallel lines are intersected by a transversal, then corresponding angles are supplementary. c. If a quadrilateral is a parallelogram, then its opposite sides are congruent. d. If a quadrilateral is a parallelogram, then its opposite angles are congruent. 18. Which triangles must be congruent? a. two similar right triangles b. two obtuse triangles with congruent bases c. two equilateral triangles with congruent bases d. two similar isosceles triangles 19. Which of the following would be enough to prove CDT ~ RST?

4 a. SRT STR c. b. SRT DCT d. 20. In the triangles below, ABC DEF. Which of the following is sufficient to prove that the triangles are similar? a. c. BAC EDF b. d. ABC DEF 21. In the quadrilateral ABCD, diagonals and bisect each other. Which statement does not have to be true? a. c. ABCD is a rectangle. b. ABD CDB d. ABCD is a parallelogram. 22. In which of the following triangles are corresponding angles congruent and corresponding sides proportional? a. corresponding c. scalene b. congruent d. similar 23. In the quadrilateral ABCD,, and. Which postulate can be used to prove ABD DCA? a. SAS c. SSS b. ASA d. AAS 24. Given: and.

5 Which is enough to prove that the triangles are congruent? a. c. CAB WXY b. d. ABC YWX 25. In the figure below, parallel lines b and c are cut by transversal a. Which of the following statements must be true? a. 180 m 1 = m 2 c. m 1 m 2 b. m 1 m 2 d. m 1 + m 2 = A circle is drawn on a coordinate plane. It has its center at ( 3, 5). The point ( 3, 0) is on the circle. Which of the following points is also on the circle? a. (0, 5) c. ( 3, 10) b. (0, 3) d. ( 5, 3) 27. Figure ABCD is a quadrilateral. If the lengths of opposite sides are congruent, which of the following must be true? a. Quadrilateral ABCD is a square. c. Quadrilateral ABCD is a rectangle. b. Quadrilateral ABCD is a rhombus. d. Quadrilateral ABCD is a parallelogram. 28. Which of the following statements is not true? a. All squares are rectangles. c. All parallelograms are trapezoids. b. All rectangles are parallelograms. d. All trapezoids are quadrilaterals. 29. Given parallelogram ABCD, which expression represents m B? a. m A + m C + m D c. 180 m C b m A d. m A m C 30. Which of the following pairs of angles would not necessarily be supplementary? a. angles that would form a straight line c. any pair of angles in a rectangle b. adjacent angles in a parallelogram d. alternate exterior angles 31. Circle A has diameter d meters, radius r meters, and circumference c meters. What is a result of dividing the circumference by the diameter? a. 2r c. 2 b. d What minimal set of conditions would have to be true to prove that parallelogram ABCD is a rectangle?

6 a. c. m A + m B = 180 b. d. m A = m C 33. Which of the following is true for all quadrilaterals? a. The diagonals bisect each other. b. The sum of the interior angles is equal to the sum of the exterior angles. c. The lengths of at least two sides are equal. d. The diagonals bisect the angles of the quadrilateral. 34. Which of the following quadrilaterals has the most lines of symmetry? a. rhombus c. rectangle b. square d. kite 35. Which of the following quadrilaterals can have diagonals that do not intersect to form 90 angles? a. rhombus c. rectangle b. square d. kite 36. Parallel lines and m are cut by transversals n and p. If m 1 + m 15 = 180, then which of the following need not be true? a. n p c. m 3 = m 16 b d. n m 37. If the diagonals of a quadrilateral are perpendicular bisectors, then a. all interior angles of the quadrilateral must be right angles. b. the quadrilateral is an isosceles trapezoid. c. all interior angles are bisected by the diagonals. d. the quadrilateral must be a square. 38. In parallelogram ABCD, which two angles are congruent?

7 a. DAE and EAB c. ABC and CDA b. CED and CEB d. ADC and DAB 39. M and N are points on circle O. The measure of central angle MON is 70. What is the measure of? a. 35 c. 105 b. 70 d Which of the following can be drawn without any congruent sides? a. rhombus c. kite b. parallelogram d. trapezoid 41. In the figure below, line m is parallel to line n. Find the measure of BCA. a. 40 c. 90 b. 50 d In circle X, the midpoints of and are 5 inches from the center. Which of the following statements is true? a. The length of is equal to the length of. b. must be a diameter. c. and are perpendicular bisectors. d. The measure of is equal to the measure of. 43. A cylinder has radius 2 inches and height 8 inches.

8 If you needed to paint the entire cylinder, with the exception of the two bases, what area would you paint? a. 10 sq in. c. 32 sq in. b. 16 sq in. d. 64 sq in. 44. Circle A has radius 3 cm. Circle B has diameter 8 cm. What is the sum of their areas? a. 11 cm 2 c. 25 cm 2 b. 24 cm 2 d. 73 cm Circle A has area 81 square inches. Find the circumference of circle A. a. 9 in. c. 81 in. b. 18 in. d. 162 in. 46. A student knows that the area of a parallelogram is found by multiplying the base by the height. Drawing the diagonal for the parallelogram is one way to illustrate which formula? a. area of a triangle c. perimeter of a parallelogram b. area of a rectangle d. area of a trapezoid 47. A rectangle has an area 24 cm 2 and length 3 cm. What is its perimeter? a. 72 cm c. 11 cm b. 22 cm d. 8 cm 48. A truck tire has a diameter of 3 feet. How far will the truck travel in 20 rotations? a. 30 ft c. 120 ft b. 60 ft d. 180 ft 49. A triangle has a base 12 inches long and an area of 36 square inches. Find the length of the altitude. a. 3 in. c. 5 in. b. 4 in. d. 6 in. 50. Find the area of trapezoid ABCD. a. 24 sq in. c sq in. b sq in. d sq in. 51. A prism has volume 90 cm 3. It has a square base whose area is 9 cm 2. What is its surface area? a. 138 cm 2 c. 270 cm 2 b. 198 cm 2 d. 810 cm Which of the following techniques can be used to find the volume of any right prism or cylinder? a. find the area of each side and multiply by the height b. multiply the length and the width and the height

9 c. double the area of each side and add the results together d. find the area of the base and multiply by the height 53. A carpenter needs 42 feet of crown molding to finish the perimeter of a rectangular room. One side of the room is 12 feet long. How much carpet will he need to finish the room? a. 64 ft 2 c. 144 ft 2 b. 108 ft 2 d. 504 ft A school put in a new football field. The field has a running track around its perimeter. The dimensions are shown in the figure below. If the groundskeeper could mow 400 square feet per minute, how long would it take her to mow the entire field, to the nearest minute? a. 100 minutes c. 136 minutes b. 108 minutes d. 185 minutes 55. A runner wants to jog around the perimeter of the field. How far will the runner go in one lap? a. 720 ft c ft b. 960 ft d ft 56. Which of the following volume formulas is incorrect? a. c. volume of a cylinder = r 2 h volume of a pyramid = Bh b. volume of a cube = s 3 d. volume of rectangular prism = 2 h 57. A beach ball has a diameter of 24 inches. What is its approximate surface area, in square inches? (Surface Area = 4 r 2 ) a sq in. c sq in. b sq in. d. 96 sq in. 58. A company sells seasoning in cans that are 14 cm tall. The cans have radius 4 cm. How much seasoning will the cylinder hold, to the nearest cubic centimeter? a. 56 cm 3 c. 704 cm 3 b. 224 cm 3 d cm A fruit juice company sells its juice in containers that are 4.5 cm long, 2.5 cm wide, and 6 cm tall. How much material is needed to cover the outside of one container? a cm 2 c cm 2 b cm 2 d. 135 cm 2

10 60. A pyramid has a square base with each side measuring 6 meters. The distance from the center of the base to the top of the pyramid is 9 meters, What is the volume of the pyramid? a. 18 m 3 c. 108 m 3 b. 54 m 3 d. 324 m Which of the following surface area formulas is incorrect? a. surface area of a cube = 6s 2 b. surface area of a rectangular prism = 2 wh c. surface area of a cylinder = 2 r rh d. surface area of a regular square pyramid = s 2 + 2s 62. The triangle shown on the coordinate plane below has vertices at ( 3, 5), ( 8, 4) and (5, 5). What is its area, in square units? a. 24 c. 36 b. 32 d One side of an equilateral triangle is 10 inches long. Find the area, to the nearest square inch. a. 30 sq in. c. 50 sq in. b. 43 sq in. d. 100 sq in. 64. Juanita is going to put a new floor in her kitchen. Her kitchen is 15 feet long and 18 feet wide. She wants to use tiles that are 9 inches square. How many tiles will she need to cover the kitchen floor? a. 480 c. 136 b. 270 d Which of the following figures will have the greatest area? a. a scalene triangle with perimeter 54 in., base 20 in., and height 10 in. b. a rhombus with side 13 in., short diagonal 10 in., and long diagonal 24 in. c. a trapezoid with short base 12 in., long base 16 in., and height 8 in. d. a parallelogram with short side 12 in., long side (base) 13 in., and height 9 in. 66. Which of the following sketches does not illustrate the altitude (height) of a triangle? a. c. b. d. 67. Figure ABCD is a rhombus. Find its area.

11 a. 12 sq in. c. 24 sq in. b. 20 sq in. d. 60 sq in. 68. Isosceles trapezoid EFGH has area 80 cm 2, height 20 cm, and legs 22 cm. One of the bases is 5 cm. How long is the remaining base? a. 3 cm c. 20 cm b. 4 cm d. 24 cm 69. If the base of parallelogram MNOP is 1 inch less than twice its height, which expression represents the area of the parallelogram? a. (x)(2x 1) c. (2x 1) 2 b. 2(2x 1) d. 70. Rectangle ABCD has a length of 24 cm and a width of 16 cm. Find the area of the inscribed rhombus MNOP. a. 80 cm 2 c. 192 cm 2 b. 96 cm 2 d. 384 cm Carlos has developed software that allows the user to instantly find the lengths of all sides of any polygon. Which of the following figures needs more information before its area can be calculated? a. right triangle c. square b. rectangle d. rhombus 72. A kite has one diagonal 12 inches long and another diagonal 8 inches long. Which figure has the same area as the kite? a. rectangle with length 12 in. and width 8 in. b. triangle with base 12 in. and height 8 in. c. parallelogram with base 12 in. and height 8 in. d. square with side 10 in. 73. In the figure below, sin B = 0.8.

12 What is the length of? a. 9.6 c b. 12 d In the figure below, if sin x =, then what is cos x? a. c. b. d. 75. In the figure below, the flagpole has height h. In the triangle, tan x = 1.5. How many feet tall is the flagpole? a. 16 ft c. 36 ft b ft d. 48 ft 76. In a right triangle, cos x =. What are sin x and tan x? a. b. sin x =, and tan x = sin x =, and tan x = c. d. sin x =, and tan x = sin x =, and tan x = 77. In a right triangle, tan x =. What is sin x? a. c.

13 b. d. 78. In a right triangle, cos x =. Which correctly shows the triangle? a. c. b. d. 79. In the figure below, tan A = 1.5. What is the length of? a. 24 c. 40 b. 36 d In the triangle below, tan x Approximately how far is the cat from the girl? a ft c. 4.7 ft b ft d. 2.4 ft 81. In a right triangle, cos x =, and sin x =. What is tan x? a. c. b. d. 82. In the figure below, if tan x =, then what is sin x?

14 a. c. b. d. 83. Triangle RST is shown below. Which equation should be used to find the length of? a. sin 56 = c. cos 56 = b. sin 56 = d. cos 56 = 84. In the figure below, m K = 41, and MK = 18. Which equation could be used to find x in KLM? a. x = 18 sin 41 c. x = 18 tan 41 b. x = 18 cos 41 d. x = 85. In the triangle below, which equation should be used to find the length of the hypotenuse?

15 a. b = 24 sin 35 c. b. b = 24 cos 35 d. b = b = 86. The figure below shows a 10-foot ladder leaning against a wall. The ladder makes a 62 angle with the ground. Which is closest to how far up the ladder reaches on the wall? a. 4.7 ft c. 8.8 ft b. 6.2 ft d ft 87. In a right triangle, one angle has measure 26. The side opposite that angle is 9 cm long. Which is closest to the length of the hypotenuse? a. 2.9 cm c cm b cm d cm 88. Which equation could be used to find a in the right triangle below?

16 a. sin 27 = c. cos 27 = b. cos 27 = d. tan 27 = 89. In a right triangle, one angle has measure 50 and hypotenuse 6 inches. Which equation could be used to find x, the side opposite the 50 angle? a. c. sin 50 = cos 50 = b. sin 50 = 90. In the figure below, m Q = 17, and NP = 23. d. cos 50 = Which equation could be used to find the value of x in a. x = c. x = b. x = d. x = NPQ? 91. The figure below shows a 20-foot water slide. The slide makes a 32 angle with the ground. Which is closest to the length of the ladder? a c b d In the circle below, and are chords intersecting at M.

17 If HM = 6, JM = 6, and LM = 9, then what is the length of? a. 3 c. 12 b. 4 d is tangent at point B to a circle whose center is C. is a diameter. What is m ABG? a. 40 c. 90 b. 58 d In the figure below, is tangent to circle M at point D, intersects circle M at points B and C, m = 64, and m = 96. What is m DAB? a. 68 c. 136 b. 100 d In the figure below, secants and intersect at point P, m = 63, and m = 81.

18 What is m SPT? a. 18 c. 72 b. 36 d In the figure below, FGH is inscribed in circle A, m = 156, and m = 116. What is m FHG? a. 88 c. 44 b. 64 d In the figure below, ABC is inscribed in circle T and m = 50. What is m BAC? a. 25 c. 55 b. 40 d A square is circumscribed about a circle. What is the ratio of the perimeter of the square to the circumference of the circle? a. c. b. d. 99. Triangle ABC is circumscribed about the circle. In the figure, AD = 6, DB = 4, and the perimeter of 40. ABC is

19 What is the length of? a. 10 c. 20 b. 15 d In the figure below, is tangent to circle B at point C. What is the length of? a. 7 c. 9 b. 8 d On a certain day the chance of snow is 80% at Bear Valley and 40% at Badger Pass. Assume that the chance of snow at the two resorts is independent. What is the probability that it will not snow at either resort? a. 12% c. 32% b. 25% d. 60% 102. A dime and a penny are tossed. What is the probability of tossing heads on the dime and tails on the penny? a. 0 c. b. d The tiles A, B, C, and D are placed in a bag. If one tile is chosen at random, replaced, and then another chosen, what is the probability of choosing a C and then an E? a. 75% c. 10% b. 25% d. 0% 104. Jennifer has 9 Canadian quarters and 7 American quarters in her pocket. She randomly selects one coin, looks at it and puts it back. What is the probability that the coin she chose and the next coin she chooses randomly will both be Canadian quarters? a. c. b. d What is the probability of getting tails each time if a coin is tossed 8 times?

20 a. c. b. d A box contains 9 large red marbles, 2 large yellow marbles, 6 small red marbles, and 5 small yellow marbles. If a marble is drawn at random, what is the probability that it is red, given that it is one of the large marbles? a. c. b. d Four cards are drawn from a standard deck of cards without replacement. What is the approximate probability of drawing a diamond, a club, a spade, and a heart in that order? a. 0.4% c. 8% b. 4% d. 40% 108. The probabilities of what Juan will do tonight are shown in the chart below. Juan will definitely either go bowling or go to the movies, but not both. The probability that Juan will go bowling and have it be at the Maple Street lanes is 12%. What is the probability that Juan will go to the movies? a. 78% c. 49% b. 70% d. 30%

21 Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART 2. Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key)7.0

22 42. ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: D PTS: 1 STA: ANS: B PTS: 1 STA: ANS: C PTS: 1 STA: ANS: C PTS: 1 STA: ANS: C PTS: 1 STA: ANS: B PTS: 1 STA: ANS: C PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key)19.0

23 89. ANS: A PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: B PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: D PTS: 1 STA: (Key) ANS: A PTS: 1 STA: (Key) ANS: C PTS: 1 STA: (Key) ANS: A PTS: 1 STA: PS ANS: B PTS: 1 STA: PS ANS: D PTS: 1 STA: PS ANS: C PTS: 1 STA: PS ANS: C PTS: 1 STA: PS ANS: D PTS: 1 STA: PS ANS: A PTS: 1 STA: PS ANS: B PTS: 1 STA: PS 2.0